20984974636096 has 63 divisors (see below), whose sum is σ = 42155925755671. Its totient is φ = 10364569261184.

The previous prime is 20984974636091. The next prime is 20984974636123. The reversal of 20984974636096 is 69063647948902.

The square root of 20984974636096 is 4580936.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×20984974636096² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20984974636091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3041738055 + ... + 3041744953.

Almost surely, 2^{20984974636096} is an apocalyptic number.

20984974636096 is the 4580936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20984974636096

20984974636096 is an abundant number, since it is smaller than the sum of its proper divisors (21170951119575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20984974636096 is an frugal number, since it uses more digits than its factorization.

20984974636096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13976 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 73.

The spelling of 20984974636096 in words is "twenty trillion, nine hundred eighty-four billion, nine hundred seventy-four million, six hundred thirty-six thousand, ninety-six".